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Simplifying 6(2x + 1) = 5x + 48 Reorder the terms: 6(1 + 2x) = 5x + 48 (1 * 6 + 2x * 6) = 5x + 48 (6 + 12x) = 5x + 48 Reorder the terms: 6 + 12x = 48 + 5x Solving 6 + 12x = 48 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + 12x + -5x = 48 + 5x + -5x Combine like terms: 12x + -5x = 7x 6 + 7x = 48 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 7x = 48 + 0 6 + 7x = 48 Add '-6' to each side of the equation. 6 + -6 + 7x = 48 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 48 + -6 7x = 48 + -6 Combine like terms: 48 + -6 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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